Given the domain {-2,2,4} what is the range for the relation 9x+3y=6

{8,-4,-10}

Step-by-step explanation:

re arrange relation, im going to assume x is the domain input and y is the range.

-3x+2=y

plug in every element of the set x to get the range set y

-3(-2)+2=y

y=8

-3(2)+2=y

y=-4

-3(4)+2=y

y=-10

so the range is {8,-4,-10}

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is